Trigonometry Examples

$\arcsin (\sin (- \frac{7 π}{6}))$

Add full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\arcsin (\sin (\frac{5 π}{6}))$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\arcsin (\sin (\frac{π}{6}))$

The exact value of $\sin (\frac{π}{6})$ is $\frac{1}{2}$ .

$\arcsin (\frac{1}{2})$

The exact value of $\arcsin (\frac{1}{2})$ is $\frac{π}{6}$ .

$\frac{π}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{6}$

Decimal Form:

$0.52359877 \dots$